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Interplay of three-body interactions in the EOS of nuclear matter

โœ Scribed by W. Zuo; A. Lejeune; U. Lombardo; J.F. Mathiot


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
176 KB
Volume
706
Category
Article
ISSN
0375-9474

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โœฆ Synopsis


The equation of state of symmetric nuclear matter has been investigated within Brueckner approach adopting the charge-dependent Argonne V 18 two-body force plus a microscopic threebody force based on a meson-exchange model. The effects on the equation of state of the individual processes giving rise to the three-body force are explored up to high baryonic density. It is found that the major role is played by the competition between the strongly repulsive (ฯƒ, ฯ‰)-exchange term with virtual nucleon-antinucleon excitation and the large attractive contribution due to (ฯƒ, ฯ‰) exchange with N * (1440) resonance excitation. The net result is a repulsive term which shifts the saturation density corresponding to the only two-body force much closer to the empirical value, while keeping constant the saturation energy per particle. The contribution from (ฯ€, ฯ)-exchange 3BF is shown to be attractive and rather small. The analysis of the separate three-body force contributions allows to make a comparison with the prediction of Dirac-Brueckner approach which is supposed to incorporate via the dressed Dirac spinors the same virtual nucleon-antinucleon excitations as in the present three-body force. The numerical results suggest that the three-body force components missing from the Dirac-Brueckner approach are not negligible, especially at high density. The calculation of the nuclear mean field and the effective mass shows that the three-body force affects to a limited extent such properties.


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Within the self-consistent Green's function formalism, we study the effects of three-body forces on the in-medium spectral function, self-energy and effective mass of the nuclear matter constituents, analyzing the density and momentum dependence.